<?xml version="1.0"?>
<div class="add">

<a NAME="E1:8_1_1"/><i><font color="Green">E3</font></i>: 
 <a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a>  <a href="tarski.html#R1">c=</a>  <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a>, <a class="ref" href="numbers.html#T17">NUMBERS:17</a></i>;<br/>
<a NAME="E2:8_1_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a> 
 
<b>by </b><i><a class="ref" href="relat_1.html#T89">RELAT_1:89</a></i>;<br/>
<a NAME="E3:8_1_1"/><b>then </b><i><font color="Green">E4</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span> <a href="tarski.html#R1">c=</a>  <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="txt" href="scmfsa_1.html#E1:8_1_1"><i><font color="Green">E3</font></i></a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<a NAME="E4:8_1_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="relat_1.html#T44">RELAT_1:44</a></i>;<br/>
<a NAME="E5:8_1_1"/><b>then </b><i><font color="Green">E5</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="txt" href="scmfsa_1.html#E3:8_1_1"><i><font color="Green">E4</font></i></a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> = 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>
<br/>.= 
<a href="numbers.html#K4">INT</a>  <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span>
<b>by </b><i><a class="ref" href="funcop_1.html#T19">FUNCOP_1:19</a></i>
<br/>.= 
<a href="numbers.html#K4">INT</a>  <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K5">NAT</a> 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>
<br/>.= 
 <a href="numbers.html#K4">INT</a> 
<b>by </b><i><a class="ref" href="numbers.html#T17">NUMBERS:17</a>, <a class="ref" href="xboole_1.html#T12">XBOOLE_1:12</a></i>
;<br/>
<b>then </b><i><font color="Green">E6</font></i>:  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p4">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span> = 
<a href="numbers.html#K4">INT</a>  <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>
<br/>.= 
 <a href="numbers.html#K4">INT</a> 
<b>by </b><i><a class="txt" href="scmfsa_1.html#E5:8_1_1"><i><font color="Green">E5</font></i></a>, <a class="ref" href="xboole_1.html#T12">XBOOLE_1:12</a></i>
;<br/>
<a NAME="E8:8_1_1"/><i><font color="Green">E7</font></i>: 
<span class="p1">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T15">FUNCT_4:15</a></i>;<br/>
<a NAME="E9:8_1_1"/>
 <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p4">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ,<a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> </span><a href="tarski.html#K2">}</a></span>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="8_1_1_3"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E1:8_1_1_3"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p4">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span>
 ;<br/>

<b>then consider </b><font color="Maroon">c<sub>2</sub></font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E3:8_1_1_3"/><i><font color="Green">E8</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p4">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span>
 <b>and </b><br/><a NAME="E4:8_1_1_3"/><i><font color="Green">E9</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p4">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="funct_1.html#D5">FUNCT_1:def 5</a></i>;<br/>
<i><font color="Green">E10</font></i>:  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p4">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p4">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_1.html#E8:8_1_1"><i><font color="Green">E7</font></i></a>, <a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p4">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p5">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p4">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T39">XBOOLE_1:39</a></i>
;<br/>
<i><font color="Green">E11</font></i>:  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="subset_1.html#K6">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p4">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboole_1.html#T39">XBOOLE_1:39</a></i>
;<br/>
<a NAME="E7:8_1_1_3"/><i><font color="Green">E12</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p4">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span></span>)</span> or <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span> )
 
<b>by </b><i><a class="txt" href="scmfsa_1.html#E3:8_1_1_3"><i><font color="Green">E8</font></i></a>, <a class="txt" href="scmfsa_1.html#E5:8_1_1_3"><i><font color="Green">E10</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="8_1_1_3_3"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:8_1_1_3_3"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p4">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span></span>)</span> or <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> or <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="subset_1.html#K6">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span> )
 </span><b>by </b><i><a class="txt" href="scmfsa_1.html#E6:8_1_1_3"><i><font color="Green">E11</font></i></a>, <a class="txt" href="scmfsa_1.html#E7:8_1_1_3"><i><font color="Green">E12</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="8_1_1_3_3_1"><b>suppose </b></a><a NAME="E1:8_1_1_3_3_1"/><i><font color="Green">E13</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K6">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p4">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span></span>)</span>
 ;<br/><div class="add"><a NAME="E2:8_1_1_3_3_1"/><b>then </b><i><font color="Green">E14</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span>
 ;<br/><a NAME="E3:8_1_1_3_3_1"/>
not <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E1:8_1_1_3_3_1"><i><font color="Green">E13</font></i></a>, <a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/><a NAME="E4:8_1_1_3_3_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E8:8_1_1"><i><font color="Green">E7</font></i></a>, <a class="txt" href="scmfsa_1.html#E4:8_1_1_3"><i><font color="Green">E9</font></i></a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>;<br/><a NAME="E5:8_1_1_3_3_1"/><b>then </b><i><font color="Green">E15</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E2:8_1_1_3_3_1"><i><font color="Green">E14</font></i></a>, <a class="ref" href="funct_1.html#D5">FUNCT_1:def 5</a></i>;<br/><a NAME="E6:8_1_1_3_3_1"/><i><font color="Green">E16</font></i>: 
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K1">}</a></span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="ref" href="zfmisc_1.html#T12">ZFMISC_1:12</a></i>;<br/><a NAME="E7:8_1_1_3_3_1"/>
 <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="funcop_1.html#T19">FUNCOP_1:19</a></i>;<br/><a NAME="E8:8_1_1_3_3_1"/><b>then </b>
 <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E6:8_1_1_3_3_1"><i><font color="Green">E16</font></i></a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/><b>hence </b><a NAME="E9:8_1_1_3_3_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ,<a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> </span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E5:8_1_1_3_3_1"><i><font color="Green">E15</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="8_1_1_3_3_2"><b>suppose </b></a><a NAME="E1:8_1_1_3_3_2"/><i><font color="Green">E13</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span>
 ;<br/><div class="add"><a NAME="E2:8_1_1_3_3_2"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E4:8_1_1_3"><i><font color="Green">E9</font></i></a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>;<br/><a NAME="E3:8_1_1_3_3_2"/><b>then </b><i><font color="Green">E14</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E1:8_1_1_3_3_2"><i><font color="Green">E13</font></i></a>, <a class="ref" href="funct_1.html#D5">FUNCT_1:def 5</a></i>;<br/><a NAME="E4:8_1_1_3_3_2"/>
 <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span>
 <b>by </b><i><a class="ref" href="relat_1.html#T45">RELAT_1:45</a></i>;<br/><a NAME="E5:8_1_1_3_3_2"/><b>then </b><i><font color="Green">E15</font></i>: 
 <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/><a NAME="E6:8_1_1_3_3_2"/>
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span><a href="tarski.html#K1">}</a></span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ,<a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> </span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="ref" href="zfmisc_1.html#T12">ZFMISC_1:12</a></i>;<br/><a NAME="E7:8_1_1_3_3_2"/><b>then </b>
 <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ,<a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> </span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E5:8_1_1_3_3_2"><i><font color="Green">E15</font></i></a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/><b>hence </b><a NAME="E8:8_1_1_3_3_2"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ,<a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> </span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E3:8_1_1_3_3_2"><i><font color="Green">E14</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="8_1_1_3_3_3"><b>suppose </b></a><a NAME="E1:8_1_1_3_3_3"/><i><font color="Green">E13</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="subset_1.html#K6">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span>
 ;<br/><div class="add"><a NAME="E2:8_1_1_3_3_3"/><b>then </b><i><font color="Green">E14</font></i>: 
not <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/><a NAME="E3:8_1_1_3_3_3"/><i><font color="Green">E15</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a> 
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E1:8_1_1_3_3_3"><i><font color="Green">E13</font></i></a></i>;<br/><a NAME="E4:8_1_1_3_3_3"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/><a NAME="E5:8_1_1_3_3_3"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>;<br/><b>then </b><i><font color="Green">E16</font></i>: <font color="Maroon">c<sub>1</sub></font> = 
<span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="scmfsa_1.html#E8:8_1_1"><i><font color="Green">E7</font></i></a>, <a class="txt" href="scmfsa_1.html#E4:8_1_1_3"><i><font color="Green">E9</font></i></a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="scmfsa_1.html#E2:8_1_1_3_3_3"><i><font color="Green">E14</font></i></a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
;<br/><a NAME="E7:8_1_1_3_3_3"/><i><font color="Green">E17</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K5">NAT</a> 
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E3:8_1_1_3_3_3"><i><font color="Green">E15</font></i></a>, <a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/><a NAME="E8:8_1_1_3_3_3"/><i><font color="Green">E18</font></i>: 
 <a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a>  <a href="hidden.html#R1">=</a>  <a href="numbers.html#K5">NAT</a> 
 <b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/><a NAME="E9:8_1_1_3_3_3"/>
 <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="8_1_1_3_3_3_2"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E1:8_1_1_3_3_3_2"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span>
 ;<br/>

<b>then consider </b><font color="Maroon">c<sub>4</sub></font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E3:8_1_1_3_3_3_2"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span>
 <b>and </b><br/><a NAME="E4:8_1_1_3_3_3_2"/><i><font color="Green">E20</font></i>: 
<span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="funct_1.html#D5">FUNCT_1:def 5</a></i>;<br/>
<a NAME="E5:8_1_1_3_3_3_2"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span> <a href="tarski.html#R1">c=</a>  <a href="ami_2.html#K3">SCM-Instr-Loc</a> 
 
<b>by </b><i><a class="ref" href="relat_1.html#T87">RELAT_1:87</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>4</sub></font> as    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  <b>by </b><i><a class="txt" href="scmfsa_1.html#E3:8_1_1_3_3_3_2"><i><font color="Green">E19</font></i></a></i>;<br/>
<font color="Maroon">c<sub>3</sub></font> = 
<a href="ami_2.html#K5">SCM-OK</a>  <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="scmfsa_1.html#E3:8_1_1_3_3_3_2"><i><font color="Green">E19</font></i></a>, <a class="txt" href="scmfsa_1.html#E4:8_1_1_3_3_3_2"><i><font color="Green">E20</font></i></a>, <a class="ref" href="funct_1.html#T70">FUNCT_1:70</a></i>
<br/>.= 
 <a href="ami_2.html#K4">SCM-Instr</a> 
<b>by </b><i><a class="ref" href="ami_2.html#T11">AMI_2:11</a></i>
;<br/>
<a NAME="E8:8_1_1_3_3_3_2"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="ami_2.html#K4">SCM-Instr</a> </span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<b>hence </b><a NAME="E9:8_1_1_3_3_3_2"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/>


</div><b>end;</b></div><b>then </b> <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> = 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span>
<b>by </b><i><a class="ref" href="relat_1.html#T46">RELAT_1:46</a></i>
<br/>.= 
 <a href="ami_2.html#K3">SCM-Instr-Loc</a> 
<b>by </b><i><a class="txt" href="scmfsa_1.html#E8:8_1_1_3_3_3"><i><font color="Green">E18</font></i></a>, <a class="ref" href="relat_1.html#T91">RELAT_1:91</a></i>
;<br/><a NAME="E11:8_1_1_3_3_3"/><b>then </b>
not <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K3">SCM-Instr-Loc</a> 
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E1:8_1_1_3_3_3"><i><font color="Green">E13</font></i></a>, <a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/><a NAME="E12:8_1_1_3_3_3"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="tarski.html#K1">}</a></span> <a href="xboole_0.html#K2">\/</a> <a href="ami_2.html#K2">SCM-Data-Loc</a> 
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E7:8_1_1_3_3_3"><i><font color="Green">E17</font></i></a>, <a class="ref" href="ami_3.html#D1">AMI_3:def 1</a>, <a class="ref" href="ami_5.html#T23">AMI_5:23</a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/><a NAME="E13:8_1_1_3_3_3"/><b>then </b><i><font color="Green">E19</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="tarski.html#K1">}</a></span> or <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K2">SCM-Data-Loc</a>  )
 <b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="8_1_1_3_3_3_4"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="8_1_1_3_3_3_4_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:8_1_1_3_3_3_4_1"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 0 or <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K2">SCM-Data-Loc</a>  )
 </span><b>by </b><i><a class="txt" href="scmfsa_1.html#E13:8_1_1_3_3_3"><i><font color="Green">E19</font></i></a>, <a class="ref" href="ami_3.html#T4">AMI_3:4</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="8_1_1_3_3_3_4_1_1"><b>suppose </b></a><a NAME="E1:8_1_1_3_3_3_4_1_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 0
 ;<br/><div class="add"><a NAME="E2:8_1_1_3_3_3_4_1_1"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> 
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E6:8_1_1_3_3_3"><i><font color="Green">E16</font></i></a>, <a class="ref" href="ami_2.html#T7">AMI_2:7</a></i>;<br/><a NAME="E3:8_1_1_3_3_3_4_1_1"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ,<a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> </span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/><b>hence </b><a NAME="E4:8_1_1_3_3_3_4_1_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ,<a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> </span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="8_1_1_3_3_3_4_1_2"><b>suppose </b></a><a NAME="E1:8_1_1_3_3_3_4_1_2"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K2">SCM-Data-Loc</a> 
 ;<br/><div class="add"><a NAME="E2:8_1_1_3_3_3_4_1_2"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="numbers.html#K4">INT</a> 
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E6:8_1_1_3_3_3"><i><font color="Green">E16</font></i></a>, <a class="ref" href="ami_2.html#T10">AMI_2:10</a></i>;<br/><a NAME="E3:8_1_1_3_3_3_4_1_2"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/><b>hence </b><a NAME="E4:8_1_1_3_3_3_4_1_2"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ,<a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> </span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div><b>hence </b><a NAME="E15:8_1_1_3_3_3"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ,<a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> </span><a href="tarski.html#K2">}</a></span>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div><b>end;</b></div>
<b>hence </b><a NAME="E10:8_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span> is   <a href="funct_2.html#NM1">Function</a> of  <a href="numbers.html#K4">INT</a> ,<span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ,<a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a> </span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E7:8_1_1"><i><font color="Green">E6</font></i></a>, <a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a>, <a class="ref" href="relset_1.html#T11">RELSET_1:11</a></i>;<br/>


</div>
